Algebraic Equation Word Problems

WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

• 4x=472

• 9x=472

• 4+9x=472

• 4+x=472

WRITE AN EQUATION
You bought a magazine for $5 and four
erasers. You spent a total of $29. How
much did each eraser cost?

• 5 + x = 29

• -5 - 4x = -29

• 5x = 29

• 29 - 5 = -4x

After paying $5.12 for a salad, Norachai has $27.10. How much money did he have before buying the salad?

• n + $5.12 = $27.10

• n - $5.12 = $27.10

• n - $5.12 = -$27.10

• $5.12 - n = $27.10

Todd caught three times as many fish this year than last year. He caught 63 fish by the end of the year. Which algebraic equation represents how many fish he caught last year? 

• 3f = 63

• 63 - 3 = f

• 63/3 = f

• 3 + f = 63

Mr. Hicks brought 6 boxes of doughnuts to share with his students.  All together he has 72 doughnuts to share.  Which equation can be used to determine n, the number of doughnuts in each box?

• 6n = 72

• 72 - n = 6

• 6 + n = 72

• n ÷ 6 = 72

Five more than half a number is six. Find the number.

• -2

• 2

• 1

• -1

A bakery displays 18 sugar cookies and three times as many chocolate chip cookies. The cookies are arranged on 9 different display shelves with the same number of cookies on each shelf. Which equation represents the number of cookies, c, displayed on each shelf?

• [18 × (6 + 18)] ÷ 9 = c

• [18 + (3 × 18)] ÷ 9 = c

• (3 × 18) ÷ 9= c

• [18 × (3 + 18)] - 9 = c

Alex, Bob, and Carl all collect seashells. Bob has half as many seashells as Carl. Alex has three times as many seashells as Bob. If Alex and Bob together have 60 seashells, how many seashells does Carl have?

• 15

• 20

• 30

• 40

Write an algebraic expression for "the sum of fifty-two and a number"

• n-52

• 52 + n

• 52/n

• 52n

For the summer, Fred buys 3 T-Shirts and 2 pair of shorts. His brother buys 4 T-shirt and a pair of shorts. If t represents the cost of a T-shirt and s represents the cost of a pair of shorts, which algebraic expression represents the total cost?

• 7t + 3s

• 3t + 7s

• 7t + 2s

• 10st